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Finding the Fourth Proportional to 5,872.42, 8,103.88 and 3,219.82

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Solution

The fourth proportional to 5,872.42, 8,103.88 and 3,219.82 is: 4,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.42 : 8,103.88 = 3,219.82 : x
  2. Step 2: Convert to fraction form
    5,872.42/8,103.88 = 3,219.82/x
  3. Step 3: Cross multiply
    5,872.42x = 8,103.88 × 3,219.82
  4. Step 4: Simplify right side
    5,872.42x = 26,093,021.79
  5. Step 5: Solve for x
    x = 26,093,021.79/5,872.42
  6. Step 6: Final answer
    x = 4,443.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.